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Finding the Fourth Proportional to 228,402.86, 342,627.10 and 78,623.33

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Solution

The fourth proportional to 228,402.86, 342,627.10 and 78,623.33 is: 117,942.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,402.86 : 342,627.10 = 78,623.33 : x
  2. Step 2: Convert to fraction form
    228,402.86/342,627.10 = 78,623.33/x
  3. Step 3: Cross multiply
    228,402.86x = 342,627.10 × 78,623.33
  4. Step 4: Simplify right side
    228,402.86x = 26,938,481,640.55
  5. Step 5: Solve for x
    x = 26,938,481,640.55/228,402.86
  6. Step 6: Final answer
    x = 117,942.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.